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22063104000 = 2143453719
BaseRepresentation
bin10100100011000100…
…000100000000000000
32002221121121210220000
4110203010010000000
5330141123312000
614045144520000
71410513201240
oct244304040000
962847553800
1022063104000
1193a2057653
124338a80000
132107c47a32
1410d42c9b20
15891e46000
hex523104000

22063104000 has 1200 divisors, whose sum is σ = 98961582720. Its totient is φ = 4777574400.

The previous prime is 22063103977. The next prime is 22063104001. The reversal of 22063104000 is 40136022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×220631040002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22063104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1161215991 + ... + 1161216009.

Almost surely, 222063104000 is an apocalyptic number.

22063104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22063104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49480791360).

22063104000 is an abundant number, since it is smaller than the sum of its proper divisors (76898478720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22063104000 is an frugal number, since it uses more digits than its factorization.

22063104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 22063104000 in words is "twenty-two billion, sixty-three million, one hundred four thousand".